7231161600 has 1080 divisors, whose sum is σ = 30591505560. Its totient is φ = 1672151040.

The previous prime is 7231161541. The next prime is 7231161601. The reversal of 7231161600 is 61611327.

It can be written as a sum of positive squares in 12 ways, for example, as 1602561024 + 5628600576 = 40032^2 + 75024^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7231161601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 195436782 + ... + 195436818.

Almost surely, 2^7231161600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7231161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15295752780).

7231161600 is an abundant number, since it is smaller than the sum of its proper divisors (23360343960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7231161600 is a wasteful number, since it uses less digits than its factorization.

7231161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7231161600 is about 85036.2369816539. The cubic root of 7231161600 is about 1933.7605186299.

Adding to 7231161600 its reverse (61611327), we get a palindrome (7292772927).

The spelling of 7231161600 in words is "seven billion, two hundred thirty-one million, one hundred sixty-one thousand, six hundred".